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In this paper we present the generalization of the higher order q-Eulernumbers and q-Genocchi numbers and w-Genocchi numbers and polynomials of highorder using the multivariate fermionic p-adic integral on Zp. We have theinterpolation functions of these numbers and polynomials. We obtain thedistribution relations for q-extensions of w-Euler and w-Genocchi polynomials.We also have the interesting relation for q-extensions of these polynomials. Wedefine (h, q)-extensions of w-Euler and w-Genocchi polynomials of high order.We have the interpolation functions for (h, q)-extensions of these polynomials.Moreover, we obtain some meaningful results of (h, q)-extensions of w-Euler andw-Genocchi polynomials.

Note on the generalization of the higher order q-Genocchi numbers and q-Euler numbers